does anyone know if there is a model structure on stacks where the cofibrations are the monomorphisms ?
As far as I know usually to get a model structure on stacks one localizes a model structure on presheaves of groupoids or sheaves of groupoids or categories fibered in groupoids and this process doesn't change the cofibrations so my question may be reformulated as: is there a model structure on those categories above where the cofibrations are the monomorphisms ?
I would be grateful for a reference if any.
Best